The product on $\W$-spaces of rational forms
Fuente:
arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2020
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| _version_ | 1866913499385430016 |
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| author | Zuevsky, A. |
| author_facet | Zuevsky, A. |
| contents | Let $V$ be a quasi-conformal grading-restricted vertex algebra, $W$ be its module, and $\W_{z_1, \ldots, z_n}$ be the space of rational differential forms with complex parameters $(z_1, \ldots, z_n)$ for $n \ge 0$. Using geometric interpretation in terms of two Riemann spheres sewing we define a product of elements of two spaces $\W_{x_1, \ldots, x_k}$ and $\W_{y_1, \ldots, y_n}$, and study its properties. A product is introduced also for elements of two spaces $C^k_m(V, \W)$ $\times$ $C^n_{m'}(V, \W)$ $\to$ $C^{k+n}_{m+m'}(V, \W)$ of the corresponding chain complex of rational differential forms invariant with respect to transformations of complex parameters. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2012_05904 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | The product on $\W$-spaces of rational forms Zuevsky, A. Functional Analysis Let $V$ be a quasi-conformal grading-restricted vertex algebra, $W$ be its module, and $\W_{z_1, \ldots, z_n}$ be the space of rational differential forms with complex parameters $(z_1, \ldots, z_n)$ for $n \ge 0$. Using geometric interpretation in terms of two Riemann spheres sewing we define a product of elements of two spaces $\W_{x_1, \ldots, x_k}$ and $\W_{y_1, \ldots, y_n}$, and study its properties. A product is introduced also for elements of two spaces $C^k_m(V, \W)$ $\times$ $C^n_{m'}(V, \W)$ $\to$ $C^{k+n}_{m+m'}(V, \W)$ of the corresponding chain complex of rational differential forms invariant with respect to transformations of complex parameters. |
| title | The product on $\W$-spaces of rational forms |
| topic | Functional Analysis |
| url | https://arxiv.org/abs/2012.05904 |